Diversifying dynamics and their universality: Eco-evolution and Econo-evolution

Note: Pizza served at 12:30, talk at 12:45 PM
Speaker: Prof. Nobuyasu Ito, University of Tokyo

When: October 4, 2010 (Mon), 01:00PM to 02:00PM (add to my calendar)
Location: SCI 352
Hosted by: H. Eugene Stanley

This event is part of the Biophysics/Condensed Matter Seminar Series.

Abstract:
Ecological systems are dynamically organized and maintained in a slow, evolutional, time scale. It is therefore challenging to clarify the essence why ecoevolution could achieve such complex self-organization. The answer will be simple and universal, because there are a wide variety of ecosystems on the earth. Such variety will not be realized without some simple universal mechanism.

We compare models of ecoevolution dynamics are compared to reach the universal1 feature2, and we find that a skew profile in life-time distribution function of species is the best model. After a study of the simplest model, we develop a “Red-Queen Hypothesis”. The skew profile turns out to be due to a stretched exponential function with exponent 1/23. Such stretched exponential profile explains fossil data, and also economical data4.

1 Y. Murase, T. Shimada, N. Ito and P. A. Rikvold, J. Theor. Biol. vol. 264, 663 (2010).

2 Y. Murase, T. Shimada, N. Ito and P. A. Rikvold, Phys. Rev. E vol.81, 041908 (2010).

3 Y. Murase, T. Shimada and N. Ito, New Journal of Physics vol.12 063021 (2010).

4 T. Mizuno and M. Takayasu, Prog. Theor. Phys. Suppl. vol.179 71(2009).